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Finding the Fourth Proportional to 1,171.39, 1,615.29 and 751.77

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Solution

The fourth proportional to 1,171.39, 1,615.29 and 751.77 is: 1,036.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.39 : 1,615.29 = 751.77 : x
  2. Step 2: Convert to fraction form
    1,171.39/1,615.29 = 751.77/x
  3. Step 3: Cross multiply
    1,171.39x = 1,615.29 × 751.77
  4. Step 4: Simplify right side
    1,171.39x = 1,214,326.56
  5. Step 5: Solve for x
    x = 1,214,326.56/1,171.39
  6. Step 6: Final answer
    x = 1,036.65

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.